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Finding the Fourth Proportional to 135,809.49, 203,714.28 and 51,569.73

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Solution

The fourth proportional to 135,809.49, 203,714.28 and 51,569.73 is: 77,354.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,809.49 : 203,714.28 = 51,569.73 : x
  2. Step 2: Convert to fraction form
    135,809.49/203,714.28 = 51,569.73/x
  3. Step 3: Cross multiply
    135,809.49x = 203,714.28 × 51,569.73
  4. Step 4: Simplify right side
    135,809.49x = 10,505,490,416.74
  5. Step 5: Solve for x
    x = 10,505,490,416.74/135,809.49
  6. Step 6: Final answer
    x = 77,354.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.